3 papers
math-ph2025
Area Law for the entanglement entropy of free fermions in nonrandom ergodic field
Leonid Pastur, Mira Shamis
This paper deals with the asymptotic behaviour of a widely used correlation characteristic in large quantum systems. The correlations are known as quantum entanglement, the charact…
quant-ph2024
Entanglement Entropy of Free Fermions with a Random Matrix as a One-Body Hamiltonian
L. Pastur, V. Slavin
We consider a quantum system of large size and its subsystem of size assuming that is much larger than , which can also be sufficiently large, i.e., $1 \ll L \lesssi…
cond-mat.dis-nn2013
The ground state structure of electron's ensemble on one-dimension disordered lattice
L. A. Pastur, V. V. Slavin, A. A. Krivchikov
The ground state of interacting particles on a disordered one-dimensional host-lattice is studied by a direct numerical method. It is shown that if the concentration of particles i…